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Finding the Third Proportional to 680,524 and 819,763

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Solution

The third proportional to 680,524 and 819,763 is: 987,491.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,524 : 819,763 = 819,763 : x
  2. Step 2: Convert to fraction form
    680,524/819,763 = 819,763/x
  3. Step 3: Cross multiply
    680,524x = 819,763 × 819,763
  4. Step 4: Simplify right side
    680,524x = 672,011,376,169
  5. Step 5: Solve for x
    x = 672,011,376,169/680,524
  6. Step 6: Final answer
    x = 987,491.07

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These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.